All the details about the examples of 2-designs corresponding to cases (1)
and (2) of Theorem REF  are contained in [1]}. Hence, in this
small section we focus on the constructions of the two examples of 2-designs
corresponding to cases (3) and (4). The tools used
for the constructions are the results about tactical
configurations contained in [2]}, [3]}, combined with some
group-theoretical information about \(\mathrm {Aut(}PSL_{3}(3)\mathrm {)}\) 
contained in [4]}.
